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Cam-Clay nonassociative plasticity exhibits both hardening and softening behaviour, depending on the loading. For many initial data the classical formulation of the quasistatic evolution problem hasâ€¦ (More)

- Marco Artina, Massimo Fornasier, Francesco Solombrino
- SIAM Journal on Optimization
- 2013

Motivated by variational models in continuum mechanics, we introduce a novel algorithm to perform nonsmooth and nonconvex minimizations with linear constraints in Euclidean spaces. We show how thisâ€¦ (More)

We introduce the concept of mean-field optimal control which is the rigorous limit process connecting finite dimensional optimal control problems with ODE constraints modeling multi-agentâ€¦ (More)

- Mattia Bongini, Massimo Fornasier, Francesco Rossi, Francesco Solombrino
- J. Optimization Theory and Applications
- 2017

We derive a Maximum Principle for optimal control problems with constraints given by the coupling of a system of ODEs and a PDE of Vlasov-type. Such problems arise naturally as Î“-limits of optimalâ€¦ (More)

We introduce a novel constructive approach to define time evolution of critical points of an energy functional. Our procedure, which is different from other more established approaches based onâ€¦ (More)

- Marco Cicalese, Francesco Solombrino
- J. Nonlinear Science
- 2015

We study the energy per particle of a one-dimensional ferromagnetic/anti-ferromagnetic frustrated spin chain with nearest and next-to-nearest interactions close to the helimagnet/ferromagnetâ€¦ (More)

The paper studies the quasistatic evolution for elastoplastic materials when the yield surface depends on the position in the reference configuration. The main results are obtained when the yieldâ€¦ (More)

- Gianni Dal Maso, Francesco Solombrino
- NHM
- 2010

We study the spatially uniform case of the problem of quasistatic evolution in small strain nonassociative elastoplasticity (Cam-Clay model). Through the introdution of a viscous approximation, theâ€¦ (More)

The spatially uniform case of the problem of quasistatic evolution in small strain associative elastoplasticity with softening is studied. Through the introdution of a viscous approximation, theâ€¦ (More)

- Andrea Braides, Marco Cicalese, Francesco Solombrino
- SIAM J. Math. Analysis
- 2015

We consider a class of spin-type discrete systems and analyze their continuum limit as the lattice spacing goes to zero. Under standard coerciveness and growth assumptions together with an additionalâ€¦ (More)